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Hey /sci/
I want to know if there's a possible way to factorize
(x^2+x+1)
Into
a(U(x) ^2 + 1)
Where "a" is a real number and U(x) is a function?
I'm having a really hard time even that this shit looks like a 5th grade equation.
I'm asking in here in hope to find a good mathematician, I'm a physicist so don't judge
Pic related even mathway couldn't help
>>
You can't factorise it because it is in its simplest form already
>>
>>8710230
This was in a final exam last year
>>
evidently
U(x) = (x^2 +x)^{1/2}
>>
>>8710243
Tried that, "a" can't be = 1
>>
>>8710224
x^2+x+1
x^2+x+.25+.75
(x+.5)^2+.75
.75([(x+.5)/sqrt(.75)]^2+1)
a=3/4
U(x)=(2x+1)/sqrt(3)
>>
>>8710224
U(x)=+/- sqrt((x^2+x+1)/a-1)
Easy
>>
>>8710257
This looks neat, can't believe how retarded I am.
Thanks m8
>>
>>8710273
No problem, and don't feel bad. It took me some time to figure it out, and I've seen these kind of problems before where it asks for a given form and to find the constants so I have a lot of practice.
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